Question

a person moves 20m north, then turn towards east and moves 10m and finally 20root2 m towards south west find his displacement from initial position

Answer 1

Answer:

Given that,

A person moves 30 m North then 20 m east than 30 root 2 meter southwest.

The movement along north direction, Vector OY =

The movement along east direction, Vector YX=

Movement along south west direction, XZ

Vector XZ==30i + 30j

Using triangle vector law,

OX = 20i + 30j

XZ = 30i + 30j

In triangle XZO, OZ is resultant from origin.

OZ = OX-XZ

OZ = 20i + 30j - 30i - 30j

OZ = -10i

Hence, The position of person from origin is 10 m West.